Resources

Online Therapy

You are a human first and foremost! If you are feeling off and could use support, you can set up an appointment within the next few days to talk to someone about your situation.

Online Talk Therapy

Online Psychiatry

“Basics” in Maths:

“The thing to keep in mind is that all these “basics” were once cutting-edge research. And the people who got to the bottom of these matters were not trivial idiots. They were great masters. The more you look at this material in this way, the more you’ll find you can tolerate it in good humor, and without fearing its deadening effects on your strange, wild mind.”

— Laurens Gunnarsen

Understanding Linear Algebra

Understanding Calculus

  • Dangerous and Illegal Operations in Calculus (by Garrett)

Intro to Proof Writing

  • Math Girls
  • Mathematics as Problem Solving (by Alexander Soifer)
  • Proofs from the Book (by Martin Aigner and Günter M. Ziegler)
  • Induction and Analogy in Maths (by Polya)

Intro to Game Theory

Intro to p-hacking

Other “Basics”

Medium Spice in Maths:

can be found on libgen if a link is not given

Analysis

  • Analysis by Its History (by Hairer and Wanner)
  • Classics in mathematics: Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions (Polya and Szego)
  • Harmonic analysis as the exploitation of symmetry–a historical survey (by George W. Mackey)
  • Visual Complex Analysis (Tristan Needham)
  • Ordinary Differential Equations (by V. Arnol’d)
  • A source book in classical analysis (by Garrett Birkhoff)

Representation Theory & Number Theory

  • Introduction to representation theory (by Pavel Etingof, Oleg Golberg, Sebastian Hensel, Tiankai Liu, Alex Schwendner, Dmitry Vaintrob, and Elena Yudovina with historical interludes by Slava Gerovitch)
  • The Mathematics of Frobenius in Context (by Thomas Hawkins)
  • Lectures on Number Theory (by Peter Gustav Lejeune Dirichlet and edited by Dedekind, based on the Disquisitiones Arithmeticae)
  • The Algebra II Lectures of the Poetic Kazuya Kato

Topology

Basics of Machine Learning and Neural Networks

  • Chris Olah’s blog Chris has excellent clear expositions of basic topics in neural networks and deep learning.
  • All the basic algorithms in ML arranged in a nice graph to follow, work through the examples sci-kit learn